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Simplifying 3600 + x4 + -100x2 = 0 Reorder the terms: 3600 + -100x2 + x4 = 0 Solving 3600 + -100x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-3600' to each side of the equation. 3600 + -100x2 + -3600 + x4 = 0 + -3600 Reorder the terms: 3600 + -3600 + -100x2 + x4 = 0 + -3600 Combine like terms: 3600 + -3600 = 0 0 + -100x2 + x4 = 0 + -3600 -100x2 + x4 = 0 + -3600 Combine like terms: 0 + -3600 = -3600 -100x2 + x4 = -3600 The x term is -100x2. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x2 + 2500 + x4 = -3600 + 2500 Reorder the terms: 2500 + -100x2 + x4 = -3600 + 2500 Combine like terms: -3600 + 2500 = -1100 2500 + -100x2 + x4 = -1100 Factor a perfect square on the left side: (x2 + -50)(x2 + -50) = -1100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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